Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F13%3A00432818" target="_blank" >RIV/68378271:_____/13:00432818 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevD.87.014008" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.87.014008</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.87.014008" target="_blank" >10.1103/PhysRevD.87.014008</a>

Result language

angličtina

Original language name

Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane

Original language description

We examine the large-order behavior of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from renormalization-group invariance. The expansion is first written as an effective series in powers of the one-loop coupling, and its leading singularities in the Borel plane are shown to be identical to those of the standard "contour-improved'' expansion. Applying the technique of conformal mappings for the analytic continuation in the Borel plane, we define a class of improved expansions, which implement both the renormalization-group invariance and the knowledge about the large-order behavior of the series. Detailed numerical studies of specific models for the Adler function indicate that the new expansions have remarkable convergence properties up to high orders.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/LG13031" target="_blank" >LG13031: Collaboration of the Czech Republic with CERN</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physical Review D: Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

e-ISSN

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Volume of the periodical

87

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

"014008-1"-"014008-14"

UT code for WoS article

000313160400002

EID of the result in the Scopus database

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